{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_67207/3963272139.py:21: MatplotlibDeprecationWarning: Axes3D(fig) adding itself to the figure is deprecated since 3.4. Pass the keyword argument auto_add_to_figure=False and use fig.add_axes(ax) to suppress this warning. The default value of auto_add_to_figure will change to False in mpl3.5 and True values will no longer work in 3.6.  This is consistent with other Axes classes.\n",
      "  ax = Axes3D(figure)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import scipy as sci\n",
    "from matplotlib import pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from numpy import *\n",
    "\n",
    "def get_dataset(data_file):\n",
    "    with open(data_file,'r') as in_file:\n",
    "        txt = in_file.readlines()#将数据集以字符串列表的形式放在txt里面['1.2 3 4\\n','1 2]\n",
    "        txt = [txt[i].split(' ') for i in range(len(txt))]#将字符串txt[i](['1.2 3 4\\n','1 2 3\\n'])转化为[['1.2','2','3','\\n'],['1','2','3','\\n']]\n",
    "        txt = [x.strip() for i in range(len(txt)) for x in txt[i] if x.strip() != '']\n",
    "        for i in range(len(txt)):\n",
    "            txt[i] = float(txt[i])\n",
    "    return txt\n",
    "\n",
    "d = 'test.txt'\n",
    "u = np.array(get_dataset(d))[2:]\n",
    "h1 = int(get_dataset(d)[0] + 1)\n",
    "h2 = int(get_dataset(d)[1] + 1)\n",
    "figure = plt.figure()\n",
    "ax = Axes3D(figure)\n",
    "L = 1\n",
    "\n",
    "X = np.linspace(-L, L, h1)\n",
    "Y = np.linspace(-L, L, h2)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "Z = u.reshape(h2, h1) # u's number equal to h * h\n",
    "ax.plot_surface(X, Y, Z, rstride = 1, cstride = 1, cmap = 'rainbow') # X Y Z's dimension should be equal\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
